The volume of the cube of unknown substance is [tex]27\ cm^3[/tex]. The length of one side of the cube is 9 cm
Explanation:
As per the formula of mass and density, Mass / Density equals to volume. Therefore as the mass of the cube was given to be 81 g and the density of the cube is known to be 3.0 g/[tex]\mathrm{cm}^{3}[/tex],, to help Bill find out the volume. It is the ratio of mass and density and can be calculated as
[tex]\text {volume}=\frac{\text {mass}}{\text {density}}=\frac{81 g}{3 g / \mathrm{cm}^{3}}=27 \mathrm{cm}^{3}[/tex]
As it is a cube, the volume is product of length, breadth, and height. Here, all sides are same as it is the cube.
[tex]volume= length \times breadth \times height[/tex]
[tex]27=3 l[/tex]
[tex]length of cube's one side, l=\frac{27}{3}=9 \mathrm{cm}[/tex]
